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Finding the Fourth Proportional to 8,507.97, 11,736.90 and 5,484.24

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Solution

The fourth proportional to 8,507.97, 11,736.90 and 5,484.24 is: 7,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.97 : 11,736.90 = 5,484.24 : x
  2. Step 2: Convert to fraction form
    8,507.97/11,736.90 = 5,484.24/x
  3. Step 3: Cross multiply
    8,507.97x = 11,736.90 × 5,484.24
  4. Step 4: Simplify right side
    8,507.97x = 64,367,976.46
  5. Step 5: Solve for x
    x = 64,367,976.46/8,507.97
  6. Step 6: Final answer
    x = 7,565.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.